13801627078800 has 1920 divisors, whose sum is σ = 55729473085440. Its totient is φ = 2875635302400.

The previous prime is 13801627078711. The next prime is 13801627078801. The reversal of 13801627078800 is 887072610831.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (13801627078801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15216787947 + ... + 15216788853.

It is an arithmetic number, because the mean of its divisors is an integer number (29025767232).

Almost surely, 2^{13801627078800} is an apocalyptic number.

13801627078800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13801627078800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27864736542720).

13801627078800 is an abundant number, since it is smaller than the sum of its proper divisors (41927846006640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13801627078800 is a wasteful number, since it uses less digits than its factorization.

13801627078800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 13801627078800 in words is "thirteen trillion, eight hundred one billion, six hundred twenty-seven million, seventy-eight thousand, eight hundred".